A survey was administered to a nationwide random sample of 199 adults who were asked to report their monthly cell phone bill (in dollars). A histogram of the results is shown below.

The question is not complete. See the complete question in the explanation section and see attached the histogram diagram.

(A) The distribution of monthly cell phone bills is skewed to the right.  TRUE

(B) The mean monthly cell phone bill is higher than the median monthly cell phone bill.  TRUE

(C) The number of respondents whose monthly cell phone bill is less than $50 is approximately 32.  TRUE

(D) There were no reported monthly cell phone bills between $300 and $350.  TRUE

(E) Sixteen percent of respondents reported monthly cell phone bills of more than $50.  FALSE

Step-by-step explanation:

1.A survey was administered to a nationwide random sample of 199 adults who were asked to report their monthly cell phone bill (in dollars). A histogram of the results is shown below.  

Which of the following statements must be false?  

(A) The distribution of monthly cell phone bills is skewed to the right.  

(B) The mean monthly cell phone bill is higher than the median monthly cell phone bill.

(C) The number of respondents whose monthly cell phone bill is less than $50 is approximately 32.

(D) There were no reported monthly cell phone bills between $300 and $350.

(E) Sixteen percent of respondents reported monthly cell phone bills of more than $50.

From the question and the histogram diagram we can deduce the following

FREQ    BINS         MID POINT

0.16      0 - 50               25

0.35     50 -100             75

0.23     100 - 150         125

0.17      150 - 200         175

0.05     200 -250         225

0.01      250 - 300        275

0.00     300 - 350       325

0.02     350 - 400        375

0.01      400 - 450        425

Mean = Sum (Freq * mid point)/ Sum Freq

Sum (Freq*mid point) = (0.16*25)+(0.35*75)+(0.23*125)+(0.17*175)+(0.05*225)+(0.01*275)+(0*325)+(0.02*375)+(0.01*425) = 114.5

Sum of Freq = 0.16+0.35+0.23+0.17+0.05+0.01+0.00+0.02+0.01 = 1

Mean = 114.5/1 = 114.5

The median is the middle number in an ordered set of data.

We can obtain the median by looking for the value in the middle position.

(16+35+23+17+5+1+0+2+1)/2 = 50

The median will be in the 50th position

16+35 = 51

the median will be in the second bin of 50-100

ANSWERS.

(A) The distribution of monthly cell phone bills is skewed to the right. TRUE  (This is obvious from the histogram diagram attached)

(B) The mean monthly cell phone bill is higher than the median monthly cell phone bill.  TRUE  ( mean  > median)

(C) The number of respondents whose monthly cell phone bill is less than $50 is approximately 32.  TRUE  (0.16 *199 = 31.84 ~ 32)

(D) There were no reported monthly cell phone bills between $300 and $350.  TRUE  (This is obvious from the histogram diagram)

(E) Sixteen percent of respondents reported monthly cell phone bills of more than $50.  FALSE (the number of respondents whose cell phone bill is less than $50 is 32. The remain number of respondents is 199-32 = 167. If 167 respondents have monthly cell phone bills above $50, then 167/199*100 = 83.9%. It is 83.9% not 16%)